Math Problem Statement

–2(6 − 3j)

Solution

Let's simplify the expression:

2(63j)-2(6 - 3j)

Step 1: Distribute the 2-2 across the parentheses:

2×6+(2)×(3j)-2 \times 6 + (-2) \times (-3j)

Step 2: Multiply each term:

12+6j-12 + 6j

Thus, the simplified expression is:

12+6j-12 + 6j

Would you like a more detailed explanation or have any questions? Here are some related questions:

  1. What is the result of multiplying complex numbers like 2×(63j)-2 \times (6 - 3j)?
  2. How do you combine real and imaginary terms in algebraic expressions?
  3. What happens when you multiply a negative number by a complex number?
  4. Can you factor complex expressions like 2(63j)-2(6 - 3j)?
  5. How do you simplify expressions involving variables with complex coefficients?

Tip: When distributing, be careful with signs, especially when working with negative numbers or imaginary terms.

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Math Problem Analysis

Mathematical Concepts

Algebra
Complex Numbers
Distributive Property

Formulas

a(b + c) = ab + ac
i = √-1

Theorems

Distributive property
Multiplication of complex numbers

Suitable Grade Level

Grades 9-11